32.3 is what percent of 11100 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 11100 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 11100, so we can write it down as 100%=11100.
4. We know, that x% equals 32.3 of the output value, so we can write it down as x%=32.3.
5. Now we have two simple equations:
1) 100%=11100
2) x%=32.3
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=11100/32.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.3 is what percent of 11100

100%/x%=11100/32.3
(100/x)*x=(11100/32.3)*x       - we multiply both sides of the equation by x
100=343.65325077399*x       - we divide both sides of the equation by (343.65325077399) to get x
100/343.65325077399=x
0.29099099099099=x
x=0.29099099099099

now we have:
32.3 is 0.29099099099099% of 11100